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Finite-time controller design of multiple integrator nonlinear systems with input saturation

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  • Mei, Keqi
  • Ma, Li
  • He, Runxin
  • Ding, Shihong

Abstract

This paper has developed a finite-time controller design for a category of multiple integrator nonlinear systems subject to input saturation. First of all, an unsaturated finite-time controller is constructed without considering input saturation. On this basis, by combining the saturation technique, a saturated controller is presented to finite-time stabilize the closed-loop system and to guarantee no transgression of pre-set input saturation. In simulation studies, an academic example is given to confirm the validity of the proposed approach. Moreover, the presented theoretical results are successfully applied to the saturated finite-time control of an agricultural vehicle straight-line tracking system (AVSTS).

Suggested Citation

  • Mei, Keqi & Ma, Li & He, Runxin & Ding, Shihong, 2020. "Finite-time controller design of multiple integrator nonlinear systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    • Handle: RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309786
    DOI: 10.1016/j.amc.2019.124986
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    References listed on IDEAS

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    1. Fang, Liandi & Ma, Li & Ding, Shihong & Zhao, Dean, 2019. "Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 63-79.
    2. Li-Juan Liu & Jing Zhou & Changyun Wen & Xudong Zhao, 2017. "Robust adaptive tracking control of uncertain systems with time-varying input delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(16), pages 3440-3449, December.
    3. Tingting Gao & Jiangshuai Huang & Yong Zhou, 2018. "Adaptive consensus control of nonlinear systems with unknown control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1908-1917, July.
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    Cited by:

    1. Mei, Keqi & Ding, Shihong, 2022. "Output-feedback finite-time stabilization of a class of constrained planar systems," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    2. Ding, Chen & Ma, Li & Ding, Shihong, 2021. "Second-order sliding mode controller design with mismatched term and time-varying output constraint," Applied Mathematics and Computation, Elsevier, vol. 407(C).
    3. Du, Haibo & Yu, Bo & Wei, Jiajia & Zhang, Jun & Wu, Di & Tao, Weiqing, 2020. "Attitude trajectory planning and attitude control for quad-rotor aircraft based on finite-time control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. Yue, Xiaohui & Shao, Xingling & Li, Jie, 2021. "Prescribed chattering reduction control for quadrotors using aperiodic signal updating," Applied Mathematics and Computation, Elsevier, vol. 405(C).

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